number.wiki
Live analysis

142,080

142,080 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

142,080 (one hundred forty-two thousand eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 5 × 37. Its proper divisors sum to 323,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22B00.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
80,241
Recamán's sequence
a(484,667) = 142,080
Square (n²)
20,186,726,400
Cube (n³)
2,868,130,086,912,000
Divisor count
72
σ(n) — sum of divisors
466,032
φ(n) — Euler's totient
36,864
Sum of prime factors
61

Primality

Prime factorization: 2 8 × 3 × 5 × 37

Nearest primes: 142,067 (−13) · 142,097 (+17)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 37 · 40 · 48 · 60 · 64 · 74 · 80 · 96 · 111 · 120 · 128 · 148 · 160 · 185 · 192 · 222 · 240 · 256 · 296 · 320 · 370 · 384 · 444 · 480 · 555 · 592 · 640 · 740 · 768 · 888 · 960 · 1110 · 1184 · 1280 · 1480 · 1776 · 1920 · 2220 · 2368 · 2960 · 3552 · 3840 · 4440 · 4736 · 5920 · 7104 · 8880 · 9472 · 11840 · 14208 · 17760 · 23680 · 28416 · 35520 · 47360 · 71040 (half) · 142080
Aliquot sum (sum of proper divisors): 323,952
Factor pairs (a × b = 142,080)
1 × 142080
2 × 71040
3 × 47360
4 × 35520
5 × 28416
6 × 23680
8 × 17760
10 × 14208
12 × 11840
15 × 9472
16 × 8880
20 × 7104
24 × 5920
30 × 4736
32 × 4440
37 × 3840
40 × 3552
48 × 2960
60 × 2368
64 × 2220
74 × 1920
80 × 1776
96 × 1480
111 × 1280
120 × 1184
128 × 1110
148 × 960
160 × 888
185 × 768
192 × 740
222 × 640
240 × 592
256 × 555
296 × 480
320 × 444
370 × 384
First multiples
142,080 · 284,160 (double) · 426,240 · 568,320 · 710,400 · 852,480 · 994,560 · 1,136,640 · 1,278,720 · 1,420,800

Sums & aliquot sequence

As consecutive integers: 47,359 + 47,360 + 47,361 28,414 + 28,415 + 28,416 + 28,417 + 28,418 9,465 + 9,466 + … + 9,479 3,822 + 3,823 + … + 3,858
Aliquot sequence: 142,080 323,952 564,384 917,376 1,520,424 2,703,576 4,116,264 6,623,256 9,934,944 16,858,704 26,693,072 32,413,264 35,218,692 56,089,308 87,768,812 70,781,524 64,346,924 — unresolved within range

Continued fraction of √n

√142,080 = [376; (1, 14, 2, 1, 1, 2, 2, 1, 7, 4, 3, 46, 1, 4, 4, 1, 1, 5, 1, 2, 10, 3, 1, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-two thousand eighty
Ordinal
142080th
Binary
100010101100000000
Octal
425400
Hexadecimal
0x22B00
Base64
AisA
One's complement
4,294,825,215 (32-bit)
Scientific notation
1.4208 × 10⁵
As a duration
142,080 s = 1 day, 15 hours, 28 minutes
In other bases
ternary (3) 21012220020
quaternary (4) 202230000
quinary (5) 14021310
senary (6) 3013440
septenary (7) 1131141
nonary (9) 235806
undecimal (11) 97824
duodecimal (12) 6a280
tridecimal (13) 4c893
tetradecimal (14) 39ac8
pentadecimal (15) 2c170

As an angle

142,080° = 394 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμβπʹ
Mayan (base 20)
𝋱·𝋯·𝋤·𝋠
Chinese
一十四萬二千零八十
Chinese (financial)
壹拾肆萬貳仟零捌拾
In other modern scripts
Eastern Arabic ١٤٢٠٨٠ Devanagari १४२०८० Bengali ১৪২০৮০ Tamil ௧௪௨௦௮௦ Thai ๑๔๒๐๘๐ Tibetan ༡༤༢༠༨༠ Khmer ១៤២០៨០ Lao ໑໔໒໐໘໐ Burmese ၁၄၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 142080, here are decompositions:

  • 13 + 142067 = 142080
  • 19 + 142061 = 142080
  • 23 + 142057 = 142080
  • 31 + 142049 = 142080
  • 41 + 142039 = 142080
  • 61 + 142019 = 142080
  • 73 + 142007 = 142080
  • 89 + 141991 = 142080

Showing the first eight; more decompositions exist.

Unicode codepoint
𢬀
CJK Unified Ideograph-22B00
U+22B00
Other letter (Lo)

UTF-8 encoding: F0 A2 AC 80 (4 bytes).

Hex color
#022B00
RGB(2, 43, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.43.0.

Address
0.2.43.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.43.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 142,080 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 142080 first appears in π at position 12,895 of the decimal expansion (the 12,895ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.